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  1. 1 Acta Physica Polonica A

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  1. 1 2009

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  1. 1 Lulek B.

  2. 1 Lulek T.

  3. 1 Milewski J.

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Bethe Ansatz and Geometry of the Classical Configuration Space

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Lulek B., Lulek T., Milewski J.
Acta Physica Polonica A
|
2009
|
vol. 115
|
issue 1
159-161
EN
We demonstrate that the seminal one-dimensional model of the Heisenberg magnet, consisting of N spins 1/2 with the nearest-neighbour isotropic interaction, solved exactly by Bethe ansatz, admits an interpretation of a system of r=N/2-M pseudoparticles (spin deviations) which are indistinguishable, have hard cores and move on the chain by local hoppings. Such an approach allows us to construct a manifold with some boundaries, which is genericly r-dimensional, and whose F-dimensional regions, 0
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